Jack Thorne

Name:	Jack Thorne
Affiliation:	DPMMS
E-mail:	(only provided to users who are logged into talks.cam)
Last login:	10 Feb 2026, 5:13 p.m.

Public lists managed by Jack Thorne

• Number Theory Seminar

Talks given by Jack Thorne

Obviously this only lists talks that are listed through talks.cam. Furthermore, this facility only works if the speaker's e-mail was specified in a talk. Most talks have not done this.

• Internal Preprint Seminar

Talks organised by Jack Thorne

This list is based on what was entered into the 'organiser' field in a talk. It may not mean that Jack Thorne actually organised the talk, they may have been responsible only for entering the talk into the talks.cam system.

• Mordell 2022 - 100 years of elliptic curves
• Normalization in the integral models of Shimura varieties of Hodge (abelian) type
• On the Bloch—Kato conjecture for genus 2 Siegel modular forms
• p-adic L-functions via higher Hida theory
• Dyadic approximation in the Cantor set
• Completed cohomology and the p-adic Langlands program
• The Scholze-Shin conjecture in some cases
• Parity conjecture for abelian varieties
• j-invariant and Borcherds Phi-function
• p-adic unlikely intersections and rational points on curves
• Breuil--Mézard conjectures for central division algebras
• Selmer groups and some analytic quantities made from L-values for elliptic curves
• Uniform irreducibility of Galois action on the l-primary part of Abelian 3-folds of Picard type
• Application of (mixed) Ax-Schanuel to counting rational points on curves
• Level raising for automorphic representations of GL(2n)
• Where are the zeroes of a random p-adic polynomial?
• Averages of Characteristic Polynomials from Classical Groups and L-functions
• Semisimplicity of certain Galois representations occurring in etale cohomology of unitary Shimura varieties
• On the automorphy of 2-dimensional potentially semistable deformation rings of $G_{Q_p}$
• Vanishing theorems for Siegel modular varieties of infinite Gamma_1-level
• Arithmetic of rational points and zero-cycles on Kummer varieties
• Density of automorphic points in polarized Galois deformation rings
• Cancelled due to industrial action
• Character varieties and (\varphi_L,\Gamma_L)-modules
• Counting rational points on a bi-projective variety
• Purity for the Brauer group
• Ordinary representations and locally analytic socle for GL_n(Q_p)
• Parity of ranks of abelian surfaces
• Finite subgroups of special linear groups, with arithmetic applications
• The nonabelian elliptic Fourier transform for unipotent representations of p-adic groups
• On the Gross-Stark conjecture
• S_5 Galois extensions of totally real fields and automorphy
• Representations of p-adic groups via geometric invariant theory
• Sansuc’s formula and Tate global duality (d’après Rosengarten).
• Companion points and locally analytic socle for GL(2)
• Patching and the completed homology of locally symmetric spaces.
• Parity of Selmer ranks in quadratic twist families
• Euler systems and deformation of Galois representations
• An identity on class numbers of cubic rings
• Automorphic induction for radicial p-extensions
• Gál type GCD sums and extreme values of the Riemann zeta function
• Euler characteristic of Selmer groups over global function fields
• Strong approximation and a conjecture of Harpaz and Wittenberg
• Geometrization of the local Langlands correspondence
• Irrationality proofs, moduli spaces, and dinner parties
• Fourier coefficients of Siegel modular forms and applications
• Additive problems and exponential sums over smooth numbers
• Commensurability of automorphism groups, and number theoretic applications
• Serre weights and wild ramification in two-dimensional Galois representations
• Arthur's multiplicity formula for automorphic representations of certain inner forms of special orthogonal and symplectic groups
• Parabolic induction and extensions
• Overconvergent modular forms and perfectoid Shimura curves
• Eigenvarieties for non-cuspidal Siegel modular forms
• Ranks of quadratic twists of elliptic curves (Please note change in time)
• The average elliptic curve has few integral points
• Transcendental Brauer-Manin obstructions on Kummer surfaces
• Analytic continuation on some unitary Shimura varieties
• Shimura varieties and complex conjugation
• An interplay between the p-parts of the Tate-Shafarevich group
• Non-commutative q-expansions
• The plectic Taniyama group
• The what of p-adic L-functions
• L-functions as distributions
• Euler systems and the Birch--Swinnerton-Dyer conjecture
• Asymptotic Growth of Torsion Homology of Arithmetic Hyperbolic 3-Manifolds
• Stark points and p-adic iterated integrals attached to modular forms of weight one
• Hasse principle for Kummer varieties (joint work with Yonatan Harpaz)
• Bloch-Kato conjecture for Asai representation
• p-adic cohomology over local fields of characteristic p
• Moduli of mod p Galois representations
• Gaps between primes
• Anticyclotomic p-adic heights on elliptic curves
• Plectic cohomology of Shimura varieties
• Modularity and the Fermat Equation over Real Quadratic Fields